Final Jeopardy Question

1
Exp. Equations
Log Equations
Equations
INV
Graphs
500
500
500
600
500
400
400
400
400
300
300
300
300
200
200
200
200
100
100
100
100
Final Jeopardy Question
2
Category 1 500 pts
No Calculator Solve
Back
3
Category 1 400 pts
No Calculator Solve
X5/6
Back
4
Category 1 300 pts
No Calculator Solve e(x-3) 35
Xln(35) 3
Back
5
Category 1 200 pts
No Calculator Solve 5(4x) 2848
Xlog(2848)/(4log5)
Back
6
Category 1 100 pts
No Calculator Solve 16(3x 1) 64
X1/6
Back
7
Category 2 500 pts
Find the exact solution ln(3-x) - ln(2-x) 1
X(2e-3)/(e-1)
Back
8
Category 2 400 pts
Solve without calc. log?(8x) log(4-x)
X1
Back
9
Category 2 300 pts
Solve ln(1-3x) 5
X(e5 - 1)/-3
Back
10
Category 2 200 pts
Solve ln6 5x 3000
X600/(ln6)
Back
11
Category 2 100 pts
Solve log(x 6)-log(x)log(x 2)
X2
Back
12
Category 3 500 pts
Is h(x) one-to-one? Verify algebraically.
Back
13
Category 3 400 pts
Find the inverse of f(x), f(x) 16(3x 1) 1
Back
14
Category 3 300 pts
Find the domain of
Back
15
Category 3 200 pts
Find g-1(x) if g(x) log(4-x)
Back
16
Category 3 100 pts
Find the inverse of h(x)
Back
17
Category 4 500 pts
No Calculator Solve 5(3x 1) 64(6-x)
Back
18
Category 4 400 pts
No Calculator Solve 5(x) 64(6-x)
Back
19
Category 4 300 pts
Find the inverse of j(x) log2(4 - 3x) 1
Y(2(x-1) - 4)/-3
Back
20
Category 4 200 pts
State the domain, range, any asymptotes, and
the transformations of j(x) log2(4 - 3x) 1
compared to k(x) log2(x)
ANSWER
Back
21
Category 4 100 pts
Name two points on k(x) log2(x) 1
(1,1) and (2,2)
Back
22
Category 5 500 pts
State the domain, range, two points, any
asymptotes, and the transformations of g(x)
4(x 1) - 2 compared to f(x) 4x
ANSWER
Back
23
Category 5 400 pts
State the inverse function of g(x) 4(x 1) -
2
g-1(x) log4(x2) - 1
Back
24
Category 5 300 pts
k(x) bx, write the function t(x) that is
reflected over the x-axis, horizontally shifted
left five units and vertically shifted up two
units.

Y-b(x5) 2
Back
25
Category 5 200 pts
k(x) bx, name two points on the graph.
(0,1) and (1,b)
Back
26
Category 5 100 pts
k(x) bx, how do you know that it is increasing
or decreasing?
If bgt1, the graph increases If 0ltblt1, then
decreases
Back
27
Final Jeopardy
Review pp. 363-65 1,4,65,67,69,71,72,74, 75,
if needed 43-61 odd
Back
28
Category 1 100 pts
No Calculator Solve 16(3x 1) 64
Back
29
Category 1 200 pts
No Calculator Solve 5(4x) 2848
Back
30
Category 1 300 pts
No Calculator Solve e(x-3) 35
Back
31
Category 1 400 pts
No Calculator Solve
Back
32
Category 1 500 pts
No Calculator Solve
Back
33
Category 2 100 pts
Solve log(x 6)-log(x)log(x 2)
Back
34
Category 2 200 pts
Solve ln6 5x 3000
Back
35
Category 2 300 pts
Solve ln(1-3x) 5
Back
36
Category 2 400 pts
Solve without calc. log?(8x) log(4-x)
Back
37
Category 2 500 pts
Find the exact solution ln(3-x) - ln(2-x) 1
Back
38
Category 3 100 pts
If I invest 3000 dollars at 6.8 for 20 years
with interest compounded monthly, how much money
will I have?
Back
39
Category 3 200 pts
If I invest 3000 dollars for 35 years and end up
with 60,000, what was my annual interest rate?
Back
40
Category 3 300 pts
If I invest 3000 dollars for 35 years and end up
with 60,000, but received interest quarterly.
What was my interest rate?
Back
41
Category 3 400 pts
The half life of carbon-14 is 5750 years. Ivory
was found to have lost 35 of its carbon-14. How
old was the ivory?
Back
42
Category 3 500 pts
In 1985, the average consumption of beef was
80lbs per person. In 1996 it was 67 lbs. If
exponential, when will it be 50lbs?
Back
43
Category 4 100 pts
Name two points on k(x) log2(x) 1
Back
44
Category 4 200 pts
State the domain, range, any asymptotes, and
the transformations of j(x) log2(4 - 3x) 1
compared to k(x) log2(x)
Back
45
Category 4 300 pts
Find the inverse of j(x) log2(4 - 3x) 1
Back
46
Category 4 400 pts
Name two points on j(x) log2(4 - 3x) 1
Back
47
Category 4 500 pts
If f(x) log(x), f(a) 3n, f(b) n,
then the ratio of ab is _______.
Back
48
Category 5 100 pts
k(x) bx, how do you know that it is increasing
or decreasing?
Back
49
Category 5 200 pts
k(x) 7x, name two points on the graph.
Back
50
Category 5 300 pts
j(x) 7x 4 - 8, how does compare to j(x) 7x?

Back
51
Category 5 400 pts
Find the inverse of j(x) 7x 4 8.
Back
52
Category 5 500 pts
Verify j(x) is one to one algebraically. j(x)
7x 4 8.
Back
53
Final Jeopardy
Optional Review pp. 337-340 1-6,21,33-41 odd,
67-71 odd, 83,
Back
54
Category 5 500 pts
D (-?,?) R (-2, ?) Horizontal Asymptote y
-2 Shifts left one unit and down two units.
Back
55
Category 4 400 pts
Back
j(x) log2(4 - 3x) 1 j(x) log2-3(x-4/3)
1 (1,0) and (2,1) are on ylog2x (-1,0) (-2,1)
due to the - (-1/3,0) (-2/3,1) due to the
3 (1,0) (2/3,1) due to the 4/3 (1,1)
(2/3,2) due to the 1
56
Back
Category 4 200 pts
j(x) log2(4 - 3x) 1 j(x) log2-3(x-4/3)
1 the - reflects the graph over the y-axis,
the 3 compresses the graph horizontally by a
factor of 3, shifts right 4/3 and up one unit.
57
Exponential Equations 100_______________________
__________________ 200_________________________
________________ 300___________________________
______________ 400_____________________________
____________ 500_______________________________
__________
58
Logarithmic Equations 100_______________________
__________________ 200_________________________
________________ 300___________________________
______________ 400_____________________________
____________ 500_______________________________
__________
59
Inverses 100____________________________________
_____ 200______________________________________
___ 300________________________________________
_ 400_________________________________________
500_________________________________________
60
Equation 600____________________________________
_____
61
graphs 100______________________________________
___ 200________________________________________
_ 300_________________________________________
400_________________________________________
500_________________________________________
62
(No Transcript)